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Results (43 matches)

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Label Dim. \(A\) Field CM RM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
3381.1.c.a \(8\) \(1.687\) \(\Q(\zeta_{16})\) \(\Q(\sqrt{-23}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(\zeta_{16}^{2}+\zeta_{16}^{6})q^{2}-\zeta_{16}q^{3}-q^{4}+\cdots\)
3381.1.c.b \(16\) \(1.687\) \(\Q(\zeta_{48})\) \(\Q(\sqrt{-23}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(-\zeta_{48}^{2}-\zeta_{48}^{22})q^{2}+\zeta_{48}^{5}q^{3}+\cdots\)
3381.1.o.a \(16\) \(1.687\) \(\Q(\zeta_{48})\) \(\Q(\sqrt{-23}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(\zeta_{48}^{6}-\zeta_{48}^{10})q^{2}-\zeta_{48}^{9}q^{3}+(\zeta_{48}^{12}+\cdots)q^{4}+\cdots\)
3381.1.o.b \(16\) \(1.687\) \(\Q(\zeta_{48})\) \(\Q(\sqrt{-23}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(-\zeta_{48}^{18}-\zeta_{48}^{22})q^{2}+\zeta_{48}^{5}q^{3}+\cdots\)
3381.1.o.c \(16\) \(1.687\) \(\Q(\zeta_{48})\) \(\Q(\sqrt{-23}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(\zeta_{48}^{10}-\zeta_{48}^{22})q^{2}+\zeta_{48}^{5}q^{3}+\cdots\)
3381.2.a.a \(1\) \(26.997\) \(\Q\) None None \(-1\) \(-1\) \(-1\) \(0\) \(+\) \(q-q^{2}-q^{3}-q^{4}-q^{5}+q^{6}+3q^{8}+\cdots\)
3381.2.a.b \(1\) \(26.997\) \(\Q\) None None \(-1\) \(-1\) \(3\) \(0\) \(+\) \(q-q^{2}-q^{3}-q^{4}+3q^{5}+q^{6}+3q^{8}+\cdots\)
3381.2.a.c \(1\) \(26.997\) \(\Q\) None None \(-1\) \(1\) \(-3\) \(0\) \(+\) \(q-q^{2}+q^{3}-q^{4}-3q^{5}-q^{6}+3q^{8}+\cdots\)
3381.2.a.d \(1\) \(26.997\) \(\Q\) None None \(-1\) \(1\) \(1\) \(0\) \(+\) \(q-q^{2}+q^{3}-q^{4}+q^{5}-q^{6}+3q^{8}+\cdots\)
3381.2.a.e \(1\) \(26.997\) \(\Q\) None None \(0\) \(-1\) \(0\) \(0\) \(+\) \(q-q^{3}-2q^{4}+q^{9}-2q^{11}+2q^{12}+\cdots\)
3381.2.a.f \(1\) \(26.997\) \(\Q\) None None \(0\) \(-1\) \(0\) \(0\) \(+\) \(q-q^{3}-2q^{4}+q^{9}+5q^{11}+2q^{12}+\cdots\)
3381.2.a.g \(1\) \(26.997\) \(\Q\) None None \(0\) \(-1\) \(0\) \(0\) \(-\) \(q-q^{3}-2q^{4}+q^{9}+6q^{11}+2q^{12}+\cdots\)
3381.2.a.h \(1\) \(26.997\) \(\Q\) None None \(0\) \(1\) \(0\) \(0\) \(+\) \(q+q^{3}-2q^{4}+q^{9}-2q^{11}-2q^{12}+\cdots\)
3381.2.a.i \(1\) \(26.997\) \(\Q\) None None \(0\) \(1\) \(0\) \(0\) \(-\) \(q+q^{3}-2q^{4}+q^{9}+5q^{11}-2q^{12}+\cdots\)
3381.2.a.j \(1\) \(26.997\) \(\Q\) None None \(0\) \(1\) \(0\) \(0\) \(-\) \(q+q^{3}-2q^{4}+q^{9}+6q^{11}-2q^{12}+\cdots\)
3381.2.a.k \(1\) \(26.997\) \(\Q\) None None \(1\) \(-1\) \(0\) \(0\) \(-\) \(q+q^{2}-q^{3}-q^{4}-q^{6}-3q^{8}+q^{9}+\cdots\)
3381.2.a.l \(1\) \(26.997\) \(\Q\) None None \(2\) \(-1\) \(-4\) \(0\) \(-\) \(q+2q^{2}-q^{3}+2q^{4}-4q^{5}-2q^{6}+\cdots\)
3381.2.a.m \(1\) \(26.997\) \(\Q\) None None \(2\) \(-1\) \(0\) \(0\) \(+\) \(q+2q^{2}-q^{3}+2q^{4}-2q^{6}+q^{9}+q^{11}+\cdots\)
3381.2.a.n \(2\) \(26.997\) \(\Q(\sqrt{5}) \) None None \(-3\) \(-2\) \(5\) \(0\) \(-\) \(q+(-1-\beta )q^{2}-q^{3}+3\beta q^{4}+(2+\beta )q^{5}+\cdots\)
3381.2.a.o \(2\) \(26.997\) \(\Q(\sqrt{5}) \) None None \(-1\) \(-2\) \(-5\) \(0\) \(+\) \(q-\beta q^{2}-q^{3}+(-1+\beta )q^{4}+(-3+\beta )q^{5}+\cdots\)
3381.2.a.p \(2\) \(26.997\) \(\Q(\sqrt{13}) \) None None \(-1\) \(-2\) \(5\) \(0\) \(+\) \(q-\beta q^{2}-q^{3}+(1+\beta )q^{4}+(3-\beta )q^{5}+\cdots\)
3381.2.a.q \(2\) \(26.997\) \(\Q(\sqrt{17}) \) None None \(-1\) \(-2\) \(1\) \(0\) \(+\) \(q-\beta q^{2}-q^{3}+(2+\beta )q^{4}+\beta q^{5}+\beta q^{6}+\cdots\)
3381.2.a.r \(2\) \(26.997\) \(\Q(\sqrt{5}) \) None None \(-1\) \(2\) \(-1\) \(0\) \(+\) \(q-\beta q^{2}+q^{3}+(-1+\beta )q^{4}+(-1+\beta )q^{5}+\cdots\)
3381.2.a.s \(2\) \(26.997\) \(\Q(\sqrt{17}) \) None None \(-1\) \(2\) \(-1\) \(0\) \(+\) \(q-\beta q^{2}+q^{3}+(2+\beta )q^{4}-\beta q^{5}-\beta q^{6}+\cdots\)
3381.2.a.t \(2\) \(26.997\) \(\Q(\sqrt{5}) \) None None \(0\) \(2\) \(2\) \(0\) \(-\) \(q-\beta q^{2}+q^{3}+3q^{4}+(1-\beta )q^{5}-\beta q^{6}+\cdots\)
3381.2.a.u \(2\) \(26.997\) \(\Q(\sqrt{5}) \) None None \(1\) \(2\) \(3\) \(0\) \(-\) \(q+\beta q^{2}+q^{3}+(-1+\beta )q^{4}+(1+\beta )q^{5}+\cdots\)
3381.2.a.v \(3\) \(26.997\) 3.3.837.1 None None \(0\) \(-3\) \(-3\) \(0\) \(-\) \(q+\beta _{1}q^{2}-q^{3}+(2+\beta _{2})q^{4}+(-1+\beta _{1}+\cdots)q^{5}+\cdots\)
3381.2.a.w \(4\) \(26.997\) 4.4.24197.1 None None \(0\) \(4\) \(-5\) \(0\) \(+\) \(q-\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}+(-1+\beta _{3})q^{5}+\cdots\)
3381.2.a.x \(4\) \(26.997\) 4.4.15317.1 None None \(2\) \(4\) \(-5\) \(0\) \(-\) \(q+\beta _{1}q^{2}+q^{3}+(1+\beta _{1}+\beta _{2})q^{4}+(-2+\cdots)q^{5}+\cdots\)
3381.2.a.y \(5\) \(26.997\) 5.5.3176240.1 None None \(1\) \(-5\) \(-2\) \(0\) \(+\) \(q+\beta _{1}q^{2}-q^{3}+(2+\beta _{2})q^{4}-\beta _{3}q^{5}+\cdots\)
3381.2.a.z \(5\) \(26.997\) 5.5.3176240.1 None None \(1\) \(5\) \(2\) \(0\) \(-\) \(q+\beta _{1}q^{2}+q^{3}+(2+\beta _{2})q^{4}+\beta _{3}q^{5}+\cdots\)
3381.2.a.ba \(6\) \(26.997\) 6.6.62622704.1 None None \(-3\) \(-6\) \(2\) \(0\) \(-\) \(q+(-1+\beta _{1})q^{2}-q^{3}+(2-\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)
3381.2.a.bb \(6\) \(26.997\) 6.6.62622704.1 None None \(-3\) \(6\) \(-2\) \(0\) \(+\) \(q+(-1+\beta _{1})q^{2}+q^{3}+(2-\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)
3381.2.a.bc \(6\) \(26.997\) 6.6.7997584.1 None None \(-1\) \(-6\) \(3\) \(0\) \(+\) \(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+(\beta _{3}+\beta _{5})q^{5}+\cdots\)
3381.2.a.bd \(6\) \(26.997\) 6.6.7997584.1 None None \(-1\) \(6\) \(-3\) \(0\) \(+\) \(q-\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}+(-\beta _{3}+\cdots)q^{5}+\cdots\)
3381.2.a.be \(8\) \(26.997\) \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None None \(1\) \(-8\) \(-5\) \(0\) \(-\) \(q+\beta _{1}q^{2}-q^{3}+(2+\beta _{2})q^{4}+(-1-\beta _{7})q^{5}+\cdots\)
3381.2.a.bf \(8\) \(26.997\) \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None None \(1\) \(8\) \(5\) \(0\) \(-\) \(q+\beta _{1}q^{2}+q^{3}+(2+\beta _{2})q^{4}+(1+\beta _{7})q^{5}+\cdots\)
3381.2.a.bg \(10\) \(26.997\) \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None None \(-4\) \(-10\) \(4\) \(0\) \(-\) \(q-\beta _{1}q^{2}-q^{3}+(\beta _{1}+\beta _{2})q^{4}+(-\beta _{3}+\cdots)q^{5}+\cdots\)
3381.2.a.bh \(10\) \(26.997\) \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None None \(-4\) \(10\) \(-4\) \(0\) \(+\) \(q-\beta _{1}q^{2}+q^{3}+(\beta _{1}+\beta _{2})q^{4}+(\beta _{3}-\beta _{8}+\cdots)q^{5}+\cdots\)
3381.2.a.bi \(10\) \(26.997\) \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None None \(3\) \(-10\) \(-5\) \(0\) \(-\) \(q+\beta _{1}q^{2}-q^{3}+(2+\beta _{2})q^{4}+(-1-\beta _{8}+\cdots)q^{5}+\cdots\)
3381.2.a.bj \(10\) \(26.997\) \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None None \(3\) \(10\) \(5\) \(0\) \(-\) \(q+\beta _{1}q^{2}+q^{3}+(2+\beta _{2})q^{4}+(1+\beta _{8}+\cdots)q^{5}+\cdots\)
3381.2.a.bk \(10\) \(26.997\) \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None None \(4\) \(-10\) \(-4\) \(0\) \(+\) \(q+\beta _{1}q^{2}-q^{3}+(\beta _{1}+\beta _{2})q^{4}+\beta _{7}q^{5}+\cdots\)
3381.2.a.bl \(10\) \(26.997\) \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None None \(4\) \(10\) \(4\) \(0\) \(-\) \(q+\beta _{1}q^{2}+q^{3}+(\beta _{1}+\beta _{2})q^{4}-\beta _{7}q^{5}+\cdots\)
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